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Finding the Fourth Proportional to 14,216.20, 21,324.30 and 6,824.20

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Solution

The fourth proportional to 14,216.20, 21,324.30 and 6,824.20 is: 10,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.20 : 21,324.30 = 6,824.20 : x
  2. Step 2: Convert to fraction form
    14,216.20/21,324.30 = 6,824.20/x
  3. Step 3: Cross multiply
    14,216.20x = 21,324.30 × 6,824.20
  4. Step 4: Simplify right side
    14,216.20x = 145,521,288.06
  5. Step 5: Solve for x
    x = 145,521,288.06/14,216.20
  6. Step 6: Final answer
    x = 10,236.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.